Efficiency of capturing a phase image using cone-beam x-ray Talbot interferometry

Wataru Yashiro, Yoshihiro Takeda, Atsushi Momose

Research output: Contribution to journalArticlepeer-review

84 Citations (Scopus)


We assesses the efficiency of x-ray Talbot interferometry (XTI), a technique based on the Talbot effect for measuring a wavefront gradient, in terms of how quickly it can capture a high-quality phase image with a large signal-to-noise ratio for a given incident photon number. Photon statistics cause errors in the phase of the moiré fringes and impose a detection limit on the wavefront gradient. The relation between the incident photon number and the detection limit is determined, and a figure of merit of XTI for a monochromatic cone beam is then defined. The dependence of the figure of merit on optical system parameters, such as grating pitch and position, is then discussed. The effects of varying the pattern height and linewidth of the second grating are shown for rectangular and trapezoidal teeth. Finally, we show how to design a practical cone-beam Talbot interferometer for certain boundary conditions.

Original languageEnglish
Pages (from-to)2025-2039
Number of pages15
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number8
Publication statusPublished - 2008 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Computer Vision and Pattern Recognition


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